27. A person is driving a vehicle at a uniform speed of 8ms-‘on a level curved track of radius 8 m. The
coefficent of static friction between tyres and road is 0.1. Take g = 10ms 2. Choose the incorrect
statement.
(a) A person will slip if v2 > 10 ms
(b) A person will not slip if v? <8ms
(c) A person will not slip if 12> 8ms!
(d) A person will not slip if y2 = 8 ms
Answer :
Correct option is
B
A person will slip if v
2
>5ms
−1
Person will slip if centripetal force
r
mv
2 is greater than frictional force μmg where m is mass off vehicle, v is velocity, r is radius (5m) and μ is coefficient of static friction (0.1), g is acceleration due to gravity (m/s
2
).
Therefore condition of slipping
r
mv
2
>μmg
i.e. v
2
>μrg
i.e. v
2
>5